13441233214431 has 96 divisors (see below), whose sum is σ = 22184757504000. Its totient is φ = 7769325392640.

The previous prime is 13441233214429. The next prime is 13441233214511.

13441233214431 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 2 + 3 + 3 + 214 + 431 = 666.

13441233214431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13441233214431 - 2¹ = 13441233214429 is a prime.

It is a super-2 number, since 2×13441233214431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441233214931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75335730 + ... + 75513936.

It is an arithmetic number, because the mean of its divisors is an integer number (231091224000).

Almost surely, 2^{13441233214431} is an apocalyptic number.

13441233214431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13441233214431 is a deficient number, since it is larger than the sum of its proper divisors (8743524289569).

13441233214431 is a wasteful number, since it uses less digits than its factorization.

13441233214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178669 (or 178666 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1344123 and 3214431, that added together give a palindrome (4558554).

The spelling of 13441233214431 in words is "thirteen trillion, four hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, four hundred thirty-one".